Results 101 to 110 of about 445 (171)

On Some General Tornheim-Type Series

open access: yesMathematics
In this paper, we solve the open problem posed by Kuba by expressing ∑j,k≥1Hk(u)Hj(v)Hj+k(w)jrks(j+k)t as a linear combination of multiple zeta values. These sums include Tornheim’s double series as a special case.
Kwang-Wu Chen
doaj   +1 more source

Rees factor S-posets satisfying Conditions (PWP)sw, (WP)sw and (Psw)

open access: yesProyecciones (Antofagasta)
In [{\it Comm. Algebra}, vol. 37, pp. 1995-2007], Golchin and Rezaei gave necessary and sufficient conditions for a Rees factor $S$-post $S/K$, by a convex proper right ideal $K$, to satisfy Conditions $(PWP)$ or $(WP)$. They also introduced two new \ Conditions \ \ $(PWP)_w$ \ \ and \\$(WP)_w$. In [{\it J. Sci. Islam. Repub.
Nouri, Leila, Khamechi, Pouyan
openaire   +2 more sources

Bender–Knuth Billiards in Coxeter Groups

open access: yesForum of Mathematics, Sigma
Let $(W,S)$ be a Coxeter system, and write $S=\{s_i:i\in I\}$ , where I is a finite index set. Fix a nonempty convex subset $\mathscr {L}$ of W. If W is of type A, then $\mathscr {L}$ is the set of linear extensions of a poset,
Grant Barkley   +4 more
doaj   +1 more source

Random Fibonacci Words via Clone Schur Functions

open access: yesForum of Mathematics, Sigma
We investigate positivity and probabilistic properties arising from the Young–Fibonacci lattice $\mathbb {YF}$ , a 1-differential poset on words composed of 1’s and 2’s (Fibonacci words) and graded by the sum of the digits.
Leonid Petrov, Jeanne Scott
doaj   +1 more source

On General Alternating Tornheim-Type Double Series

open access: yesMathematics
In this paper, we express ∑n,m≥1ε1nε2mMn(u)Mm(v)nrms(n+m)t as a linear combination of alternating multiple zeta values, where εi∈{1,−1} and Mk(u)∈{Hk(u),H¯k(u)}, with Hk(u) and H¯k(u) being harmonic and alternating harmonic numbers, respectively.
Kwang-Wu Chen
doaj   +1 more source

Unification with Simple Variable Restrictions and Admissibility of $\Pi_{2}$-rules

open access: yes
We develop a method to recognize admissibility of $\Pi_{2}$-rules, relating this problem to a specific instance of the unification problem with linear constants restriction, called here "unification with simple variable restriction". It is shown that for
Almeida, Rodrigo Nicolau   +1 more
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